### Home > CALC > Chapter 1 > Lesson 1.2.4 > Problem 1-70

Selected values of a continuous

*even*function are shown below. 1-70 HW eTool (Desmos). Homework Help ✎*x*0

1

2

3

*f*(*x*)0

2

4

6

Find

*f*(−l),*f*(−2) and*f*(−3).Sketch a possible graph of

*f*(*x*) on the domain −3 ≤*x*≤ 3.Sketch another possible graph of

*f*(*x*) on the domain −3 ≤*x*≤ 3.Could the graph of

*f*(*x*) be a parabolic function? If so, find a possible equation of*f*(*x*). If not, explain.

Defintion of an even function: *f*(−*a*) = *f*(*a*).

Since *f*(1) = 2 then, by definition, *f*(−1) = 2 as well.

There are many ways to connect the points, just make sure you maintain symmetry over the *y*-axis.

Can you draw a parabola through all of these points? Give it a try.

Use the eTool below to view the graphs of some possible functions.

Click the link at right for the full version of the eTool: Calc 1-70 HW eTool